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A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

Correct Answer: 13 days

Explanation:

Ratio of times taken by A and B = 100 : 130 = 10 : 13.


Suppose B takes x days to do the work.



Then, 10 : 13 :: 23 : x     ⟹     x = 23 x 13     ⟹     x = 299 .
10 10



A's 1 day's work = 1 ;
23



B's 1 day's work = 10 .
299



(A + B)'s 1 day's work = 1 + 10 = 23 = 1 .
23 299 299 13


Therefore, A and B together can complete the work in 13 days.


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